20.1 Pythagoras' theorem — Practise

Work independently. Estimate where useful, show your method, and check units. In the mixed questions, choose the method and give a reason.

1. A right triangle has shorter sides 9 cm and 12 cm. Find the hypotenuse.
2. The hypotenuse is 17 cm and one shorter side is 8 cm. Find the other side.
3. Find the hypotenuse when the shorter sides are 5 cm and 7 cm. Give your answer to 3 significant figures.
4. A rectangle is 7 m by 24 m. Find its diagonal.
5. A ladder reaches 12 m up a wall. Its foot is 5 m from the wall. Find its length.
6. A triangle has hypotenuse 10 cm and one shorter side 6 cm. Find the other side.
7. A right triangle has shorter sides 1.5 m and 2 m. Find the hypotenuse.
8. H A square has side 10 cm. Find its diagonal exactly.